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Finding the Fourth Proportional to 257,872.46, 385,043.88 and 231,045.26

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Solution

The fourth proportional to 257,872.46, 385,043.88 and 231,045.26 is: 344,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,872.46 : 385,043.88 = 231,045.26 : x
  2. Step 2: Convert to fraction form
    257,872.46/385,043.88 = 231,045.26/x
  3. Step 3: Cross multiply
    257,872.46x = 385,043.88 × 231,045.26
  4. Step 4: Simplify right side
    257,872.46x = 88,962,562,210.78
  5. Step 5: Solve for x
    x = 88,962,562,210.78/257,872.46
  6. Step 6: Final answer
    x = 344,986.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.